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Titlebook: On Regenerative Processes in Queueing Theory; J. W. Cohen Book 1976 Springer-Verlag Berlin · Heidelberg 1976 Distribution.probability.queu

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书目名称On Regenerative Processes in Queueing Theory
编辑J. W. Cohen
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丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: On Regenerative Processes in Queueing Theory; J. W. Cohen Book 1976 Springer-Verlag Berlin · Heidelberg 1976 Distribution.probability.queu
描述I. The single server queue GIIG/1 1 1. 1 Definitions 1 1. 2 Regenerative processes 2 1. 3 The sequence n 1,2, . . . 4 = !::!n‘ 1. 4 The process t dO,co)} 11 {~t‘ The process t dO,co)} 1. 5 15 {~t‘ Applications to the GIIG/1 queue 1. 6 16 The average virtual waiting time during a busy 17 cycle ii. Little‘s formula 17 iii. The relation between the stationary distributions 18 of the virtual and actual waiting time iv. The relation between the distribution of the idle 20 period and the stationary distribution of the actual waiting time v. The limiting distribution of the residual service 24 time £. , -pw vi. The relation for ~ rn E{e -n} 25 n=O 1. 7 Some notes on chapter I 27 II. The M/G/K system 31 2. 1 On the stationary distribution of the actual and virtua131 waiting time for the M/G/K queueing system 2. 2 The M/G/K loss system 36 2. 3 Proof of Erlang‘s formula for the M/G/K loss system 43 i. Proof for the system MIMI‘" 45 ii. Proof for the system M/G/co 47 VI iii. Proof fol‘ the MIG IK los s system III. The M/G/1 system 3. 1 Introduction 71 (K) 3. 2 Downcrossings of the ~t -process 74 3. 3 The distribution of the supremum of the virtual waiting 75 • (00) d‘ b 1 tlme ~t urlng a usy
出版日期Book 1976
关键词Distribution; probability; queueing theory; service
版次1
doihttps://doi.org/10.1007/978-3-642-95281-4
isbn_softcover978-3-540-07627-8
isbn_ebook978-3-642-95281-4Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin · Heidelberg 1976
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The single server queue GI/G/1,By . we shall denote the service time of the nth arriving customer, and by . the interarrival time between the nth and (n+1)th arriving customer; {., n = 1,2,…} and {., n = 1,2,…} are assumed to be independent families of independent, identically distributed, positive stochastic variables with
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Lecture Notes in Economics and Mathematical Systemshttp://image.papertrans.cn/o/image/701059.jpg
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978-3-540-07627-8Springer-Verlag Berlin · Heidelberg 1976
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On Regenerative Processes in Queueing Theory978-3-642-95281-4Series ISSN 0075-8442 Series E-ISSN 2196-9957
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Book 1976o)} 11 {~t‘ The process t dO,co)} 1. 5 15 {~t‘ Applications to the GIIG/1 queue 1. 6 16 The average virtual waiting time during a busy 17 cycle ii. Little‘s formula 17 iii. The relation between the stationary distributions 18 of the virtual and actual waiting time iv. The relation between the distri
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